IN ERRATUM AN EXPOSITION OF THE NATURE, FORCE, ACTION, AND OTHER Cancel the words "and the greater action an excess of of the distance C c" &c. in page 16, to the end of the sentence; and in lieu thereof, read as follows:-" and the action of that greater force generates a decrease of of the distance Cc; but is the square root of, wherefore the force is to the action inversely as the square root ofto. So that if B S represents the greater force, the ratio of B S to the resultant of the force and its action is compounded of the ratios of BS to, and of to; and if CS represents the resultant, or action of the force at C, then the ratio of B S to CS is compounded of the inverse ratios of BS to CS, and of C s to C S. But the ratio of CS to CS is inverse to that of the forces, wherefore the ratio of B S to C S is compounded of the ratio of the forces and of the ratio of the greater force to its action; that is, because B S does represent the greater force at C, and C S does represent the action at C, B S is to CS as the greater force at C is to its action." cities and their distances, and between their velocities and periodic times. He showed that these analogies are conformable to the famous analogy discovered by Kepler in the ERRATUM IN AN EXPOSITION OF THE NATURE, FORCE, ACTION, AND OTHER PROPERTIES OF GRAVITATION ON THE PLANETS.' Cancel the words "and the greater action an excess of of the distance C c" &c. in page 16, to the end of the sentence; and in lieu thereof, read as follows:-" and the action of that greater force generates a decrease of of the distance Cc; but is the square root of, wherefore the force is to the action inversely as the square root ofto. So that if B S represents the greater force, the ratio of B S to the resultant of the force and its action is compounded of the ratios of BS to, and of to; and if CS represents the resultant, or action of the force at C, then the ratio of B S to CS is compounded of the inverse ratios of BS to CS, and of C s to CS. But the ratio of CS to CS is inverse to that of the forces, wherefore the ratio of B S to C S is compounded of the ratio of the forces and of the ratio of the greater force to its action; that is, because B S does represent the greater force at C, and CS does represent the action at C, B S is to C S as the greater force at C is to its action." cities and their distances, and between their velocities and periodic times. He showed that these analogies are conformable to the famous analogy discovered by Kepler in the |